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Finding the Third Proportional to 596,880 and 925,578

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Solution

The third proportional to 596,880 and 925,578 is: 1,435,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,880 : 925,578 = 925,578 : x
  2. Step 2: Convert to fraction form
    596,880/925,578 = 925,578/x
  3. Step 3: Cross multiply
    596,880x = 925,578 × 925,578
  4. Step 4: Simplify right side
    596,880x = 856,694,634,084
  5. Step 5: Solve for x
    x = 856,694,634,084/596,880
  6. Step 6: Final answer
    x = 1,435,287.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.